Question

1. You and your friend are splitting a restaurant bill and leaving a tip. You pay half of the bill plus $5. Your friend pays half of the bill plus 25% of half the bill. You and your friend pay the same total amount. How much is half the bill?
(a) Write an equation. Let x be the cost of half the bill.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences. Answer:
(2. The graph shows the number of laps Kailee ran around a track over a given number of minutes.
(a) What is the slope of the line? Use the slope formula and show your work.
(b) How many laps did Kailee run per minute?
(c) If she continued to run at the same rate, how many laps would she run in 24 min?
3. A family is tracking its spending habits. Over the past year, the grocery bill has ranged from $110 to $170. Suppose you were going to plot these points on a coordinate grid.
(a) What is a good scale to use for the y-axis? Explain your reasoning.
(b) What is a good interval to use for the y-axis? Explain your reasoning. Answer:

Answer 1

1.
a) x+5=x+0.25x

b) x+5=x+0.25x
5=0.25x
Multiply both sides by 4
20=x

c)20+5=20+0.25*20
20+5=20+5
25+25

d) Each girl payed 25 dollars and half the bill is 20 dollars.

3.
a)each square = $10